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arXiv · 0908.1364

A mass-dependent beta-function

Dennis D. Dietrich
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Abstract

Threshold effects related to fermion masses are considered for an all-order beta-function based on a background field momentum subtraction scheme. Far away from all thresholds, the suggested beta-function reduces to the conjectured all-order form inspired by the Novikov-Shifman-Vainshtein-Zakharov beta-function of N=1 supersymmetric gauge theories with a fixed integer number of fermion flavours. At (formally) infinite masses the corresponding pure Yang--Mills beta-function is recovered. We discuss applications to the phase diagram of non-Abelian field theories.

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Dennis D. Dietrich. 2009-09-13. A mass-dependent beta-function. https://doi.org/10.1103/physrevd.80.065032

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